| Analytic decomposition and numerical procedure for solving the singular boundary value problem arising in viscous flows |
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| 作者姓名： | Liancun Zheng Fei Ma Jing Zhu Xinxin Zhang |
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| 作者单位： | [1]Applied Science School, University of Science and Technology Beijing, Beijing 100083, China [2]Mechanical Engineering School, University of Science and Technology Beijing, Beijing 100083, China |
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| 基金项目： | 国家自然科学基金，教育部资助项目 |
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| 摘 要： | 1. Introduction The drag force due to “skin friction” is a fluid dy- namic resistive force, which is a consequence of the fluid viscous and the pressure distribution on the sur- face of the object 1]. In view of the theoretical analy- sis of the bounda…
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| 关 键 词： | 粘性流 边界值 非线性 解析离解 边界层 相似解 |
| 收稿时间： | 2005-06-15 |
Analytic decomposition and numerical procedure for solving the singular boundary value problem arising in viscous flows |
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| Liancun Zheng Fei Ma Jing Zhu Xinxin Zhang.Analytic decomposition and numerical procedure for solving the singular boundary value problem arising in viscous flows[J].Journal of University of Science and Technology Beijing,2006,13(3):226-229. |
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| Authors: | Liancun Zheng Fei Ma Jing Zhu Xinxin Zhang |
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| Affiliation: | 1. School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China;2. School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China;3. School of Mathematical Sciences, Queensland University of Technology, GPO Box 2434, Brisbane, Qld. 4001, Australia;1. School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China;2. School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China;3. School of Mathematical Sciences, Queensland University of Technology, GPO Box 2434, Brisbane, Qld 4001, Australia |
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| Abstract: | An efficient analytical decomposition technique was presented for solving the singular nonlinear boundary value problem arising in viscous flow when the Crocco variable was introduced. The approximate analytical solution may be represented in terms of a rapid convergent power series with elegantly computable terms. The reliability and efficiency of the approximate solutions were verified by numerical ones in the literature. The approximate analytical solutions can be successfully applied to give the values of skin friction coefficient. |
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| Keywords: | singular nonlinear boundary value problem analytical decomposition boundary layer similarity solution |
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